What is the general solution for tan^2(θ)-3tan(θ)=0 ?

The general solution for tan^2(θ)-3tan(θ)=0 is θ=1.24904…+pin,θ=pin

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tan^2(θ)-3tan(θ)=0

tan^{2} (θ) - 3 tan (θ) = 0

θ = 1.24904 \dots + πn, θ = πn

Solution steps

tan^{2} (θ) - 3 tan (θ) = 0

Solve by substitution

tan (θ) = 3, tan (θ) = 0

tan (θ) = 3 : θ = arctan (3) + πn

tan (θ) = 0 : θ = πn

Combine all the solutions

θ = arctan (3) + πn, θ = πn

Show solutions in decimal form

θ = 1.24904 \dots + πn, θ = πn

sin^{2} (x) = 2 cos (x) + 2

2 cos^{2} (x) + 3 cos (x) = 0

y, sin (y) = x

sin (2 x) + 3 cos (x) = 0

tan (θ) = cot (θ)

What is the general solution for tan^2(θ)-3tan(θ)=0 ?
The general solution for tan^2(θ)-3tan(θ)=0 is θ=1.24904…+pin,θ=pin